Details

Time bar (total: 2.4s)

sample26.0ms

Algorithm
intervals
Results
19.0ms256×body80valid

simplify45.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
0500735

prune5.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 0.0b

Counts
2 → 1

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (* 2.0 t) (+ 1.0 t))
0.0b
(/ (+ 1.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))) (+ 2.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))))
0.0b
(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
0.0b
(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
83×add-exp-log add-cbrt-cube
62×*-un-lft-identity
53×times-frac
34×add-sqr-sqrt
31×prod-exp cbrt-unprod
30×add-cube-cbrt
27×cbrt-undiv div-exp
24×swap-sqr
20×associate-*r* associate-*l* associate-/r/
18×pow1
14×distribute-lft-out
11×flip3-+ flip-+
10×div-inv
7×associate-/r*
4×associate-/l* add-log-exp
2×pow2 frac-times frac-2neg pow-plus associate-*r/ pow-prod-down associate-*l/ clear-num pow-sqr *-commutative pow-prod-up associate-/l/ unswap-sqr
Counts
4 → 190
Calls
4 calls:
6.0ms
(/ (* 2.0 t) (+ 1.0 t))
7.0ms
(/ (+ 1.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))) (+ 2.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))))
14.0ms
(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
18.0ms
(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))

series17.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(/ (* 2.0 t) (+ 1.0 t))
7.0ms
(/ (+ 1.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))) (+ 2.0 (* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))))
3.0ms
(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))
4.0ms
(* (/ (* 2.0 t) (+ 1.0 t)) (/ (* 2.0 t) (+ 1.0 t)))

simplify50.0ms

Algorithm
egg-herbie
Counts
202 → 202
Iterations

Useful iterations: 0 (27.0ms)

IterNodesCost
052623080

prune367.0ms

Filtered
128 candidates to 202 candidates (-57.8%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1993202
Fresh000
Picked011
Done000
Total1994203

Merged error: 0b

Counts
203 → 4

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ t (+ t 1.0))
0.0b
(/ t (+ t 1.0))
0.6b
(pow (sqrt (* (/ t (+ t 1.0)) 2.0)) 4)
0.6b
(pow (sqrt (* (/ t (+ t 1.0)) 2.0)) 4)

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
42×*-un-lft-identity
26×add-sqr-sqrt add-cube-cbrt
24×times-frac
12×pow1
10×add-exp-log
8×unpow-prod-down pow-pow associate-/r* add-cbrt-cube distribute-lft-out
6×pow-unpow associate-/l*
4×sqrt-pow1 associate-/r/ add-log-exp
2×cbrt-undiv pow-to-exp frac-2neg flip3-+ pow1/2 div-exp pow-prod-down pow-exp clear-num sqrt-prod sqrt-pow2 flip-+ div-inv sqr-pow
Counts
4 → 110
Calls
4 calls:
5.0ms
(/ t (+ t 1.0))
5.0ms
(/ t (+ t 1.0))
7.0ms
(pow (sqrt (* (/ t (+ t 1.0)) 2.0)) 4)
8.0ms
(pow (sqrt (* (/ t (+ t 1.0)) 2.0)) 4)

series37.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(/ t (+ t 1.0))
3.0ms
(/ t (+ t 1.0))
14.0ms
(pow (sqrt (* (/ t (+ t 1.0)) 2.0)) 4)
17.0ms
(pow (sqrt (* (/ t (+ t 1.0)) 2.0)) 4)

simplify52.0ms

Algorithm
egg-herbie
Counts
122 → 122
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
050681234

prune276.0ms

Filtered
88 candidates to 122 candidates (-38.6%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1211122
Fresh112
Picked101
Done011
Total1233126

Merged error: 0b

Counts
126 → 3

localize24.0ms

Local error

Found 4 expressions with local error:

0.1b
(* t (/ 2.0 (+ t 1.0)))
0.6b
(pow (sqrt (* (/ t (+ t 1.0)) 2.0)) 4)
0.6b
(pow (sqrt (* t (/ 2.0 (+ t 1.0)))) 4)
1.1b
(log (exp (pow (sqrt (* t (/ 2.0 (+ t 1.0)))) 4)))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
26×*-un-lft-identity
25×add-sqr-sqrt
20×add-cube-cbrt
18×associate-*r*
15×pow1
13×times-frac
12×unpow-prod-down
11×add-exp-log
9×log-pow add-cbrt-cube
8×exp-prod pow-pow
6×pow-unpow
4×sqrt-pow1 add-log-exp
3×log-prod associate-*l* pow-prod-down sqrt-prod distribute-lft-out sqr-pow
2×pow-to-exp pow1/2 pow-exp prod-exp associate-/r/ sqrt-pow2 cbrt-unprod unswap-sqr
1×cbrt-undiv flip3-+ associate-*r/ div-exp rem-log-exp *-commutative flip-+ div-inv
Counts
4 → 101
Calls
4 calls:
9.0ms
(* t (/ 2.0 (+ t 1.0)))
7.0ms
(pow (sqrt (* (/ t (+ t 1.0)) 2.0)) 4)
7.0ms
(pow (sqrt (* t (/ 2.0 (+ t 1.0)))) 4)
3.0ms
(log (exp (pow (sqrt (* t (/ 2.0 (+ t 1.0)))) 4)))

series49.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(* t (/ 2.0 (+ t 1.0)))
15.0ms
(pow (sqrt (* (/ t (+ t 1.0)) 2.0)) 4)
14.0ms
(pow (sqrt (* t (/ 2.0 (+ t 1.0)))) 4)
17.0ms
(log (exp (pow (sqrt (* t (/ 2.0 (+ t 1.0)))) 4)))

simplify44.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
049721248
149721248

prune295.0ms

Filtered
83 candidates to 113 candidates (-36.1%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1130113
Fresh011
Picked011
Done011
Total1133116

Merged error: 0b

Counts
116 → 3

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(- 0.8333333333333334 (/ 0.2222222222222221 t))
0.0b
(+ (/ 0.0370370370370372 (* t t)) (- 0.8333333333333334 (/ 0.2222222222222221 t)))
0.3b
(/ 0.0370370370370372 (* t t))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
12×*-un-lft-identity
10×add-sqr-sqrt add-log-exp
8×add-exp-log add-cbrt-cube
5×add-cube-cbrt
4×times-frac
3×pow1 associate-/l*
2×cbrt-undiv sub-neg associate-+r+ flip3-- diff-log div-exp frac-add sum-log flip-- distribute-lft-out distribute-lft-out-- difference-of-squares
1×+-commutative associate-+r- frac-2neg flip3-+ prod-exp clear-num associate-/r* cbrt-unprod flip-+ div-inv
Counts
3 → 55
Calls
3 calls:
6.0ms
(- 0.8333333333333334 (/ 0.2222222222222221 t))
12.0ms
(+ (/ 0.0370370370370372 (* t t)) (- 0.8333333333333334 (/ 0.2222222222222221 t)))
6.0ms
(/ 0.0370370370370372 (* t t))

series9.0ms

Counts
3 → 9
Calls
3 calls:
3.0ms
(- 0.8333333333333334 (/ 0.2222222222222221 t))
3.0ms
(+ (/ 0.0370370370370372 (* t t)) (- 0.8333333333333334 (/ 0.2222222222222221 t)))
3.0ms
(/ 0.0370370370370372 (* t t))

simplify32.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 0 (26.0ms)

IterNodesCost
05079638

prune60.0ms

Filtered
42 candidates to 64 candidates (-52.4%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New64064
Fresh000
Picked011
Done022
Total64367

Merged error: 0b

Counts
67 → 3

regimes121.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01435
11435

end0.0ms

sample737.0ms

Algorithm
intervals
Results
602.0ms8000×body80valid

Profiling

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